Consider U, universal set, having all positive rational numbers (or positive fractions).
Consider A be set defined by A = {p/q | p,q are odd naturals and q is nonzero}.
Determine a set B which satisfied given four conditions:
i) B is subset of A', complement of A.
ii) B has exactly 255 proper subsets.
iii) Every fraction in B is in reduced form.
iv) No fraction in B is greater than 1.